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Boolean satisfiability in quantum compilation.

Mathias Soeken1, Giulia Meuli1, Bruno Schmitt1

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Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|December 24, 2019
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Summary

Quantum compilation translates quantum algorithms into computer instructions. This study proposes Boolean satisfiability algorithms to solve complex, NP-hard tasks within the quantum compilation flow.

Keywords:
Boolean satisfiabilitylogic synthesisquantum compilationquantum computingquantum programming languages

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Area of Science:

  • Quantum computing
  • Computer science
  • Algorithm design

Background:

  • Quantum compilation bridges high-level quantum algorithms and low-level physical quantum computer instructions.
  • The compilation process involves multiple abstraction layers, with many tasks being computationally complex (NP-hard).

Purpose of the Study:

  • To describe the multi-stage quantum compilation flow.
  • To propose novel algorithms for optimizing quantum compilation tasks.

Main Methods:

  • Utilizing Boolean satisfiability (SAT) solvers to address NP-hard problems in quantum compilation.
  • Describing the layered abstraction flow of quantum compilation.

Main Results:

  • Algorithms based on Boolean satisfiability are presented as a viable approach for computationally complex quantum compilation tasks.
  • The study outlines a structured quantum compilation flow.

Conclusions:

  • Boolean satisfiability offers a promising framework for tackling challenging problems in quantum compilation.
  • The proposed methods aim to improve the efficiency and feasibility of translating quantum algorithms for physical hardware.